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<b>let </b><font color="Maroon" title="c2">I</font> be   <a href="scmfsa6a.html#NM1" title="SCMFSA6A:NM.1">Macro-Instruction</a>;<br/>

<b>assume </b><a NAME="E1:12_3_1"/><i><font color="Green" title="E11">A44</font></i>: 
<font color="Maroon" title="c2">I</font> is <a href="scmfsa6b.html#V3" title="SCMFSA6B:attr.3">keeping_0</a>
 ;<br/>

<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="12_3_1_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon" title="c3">s</font> be   <a href="ami_1.html#NM5" title="AMI_1:NM.5">State</a> of <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> ;<br/><b>assume </b><a NAME="E1:12_3_1_1"/><i><font color="Green" title="E12">A45</font></i>: 
 <a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c2">I</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c3">s</font>
 ;<br/><a NAME="E2:12_3_1_1"/><b>then </b><i><font color="Green" title="E13">A46</font></i>: 
<font color="Maroon" title="c3">s</font> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4" title="SCMFSA_2:func.4">intloc</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> </span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1
 <b>by </b><i><a class="ref" href="scm_halt.html#T7" target="_self" title="SCM_HALT:th.7">Th7</a></i>;<br/><a NAME="E3:12_3_1_1"/>
<font color="Maroon" title="c2">I</font> <a href="ami_1.html#K17" title="AMI_1:func.17">+*</a> <span class="p1">(<span class="default"><a href="ami_1.html#K27" title="AMI_1:func.27">Start-At</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5" title="SCMFSA_2:func.5">insloc</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> </span>)</span></span>)</span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Initialized</a> <font color="Maroon" title="c2">I</font>
 <b>by </b><i><a class="ref" href="scmfsa8c.html#T19" title="SCMFSA8C:th.19">SCMFSA8C:19</a></i>;<br/><a NAME="E4:12_3_1_1"/><b>then </b>
<font color="Maroon" title="c2">I</font> <a href="ami_1.html#K17" title="AMI_1:func.17">+*</a> <span class="p1">(<span class="default"><a href="ami_1.html#K27" title="AMI_1:func.27">Start-At</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K5" title="SCMFSA_2:func.5">insloc</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> </span>)</span></span>)</span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c3">s</font>
 <b>by </b><i><a class="txt" href="scm_halt.html#E1:12_3_1_1"><i><font color="Green" title="E12">A45</font></i></a>, <a class="ref" href="xboole_1.html#T1" title="XBOOLE_1:th.1">XBOOLE_1:1</a></i>;<br/><b>hence </b><a NAME="E5:12_3_1_1"/>
for <font color="Olive" title="b1">k</font> being   <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  holds  <span class="p1">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <font color="Maroon" title="c3">s</font>,<font color="Olive" title="b1">k</font></span>)</span> <a href="scmfsa_2.html#K19" title="SCMFSA_2:func.19">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K4" title="SCMFSA_2:func.4">intloc</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> </span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1
 <b>by </b><i><a class="txt" href="scm_halt.html#E1:12_3_1"><i><font color="Green" title="E11">A44</font></i></a>, <a class="txt" href="scm_halt.html#E2:12_3_1_1"><i><font color="Green" title="E13">A46</font></i></a>, <a class="ref" href="scmfsa6b.html#D4" title="SCMFSA6B:def.4">SCMFSA6B:def 4</a></i>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E3:12_3_1"/>
<font color="Maroon" title="c2">I</font> is <a href="scm_halt.html#V3" title="SCM_HALT:attr.3">keepInt0_1</a>
 <b>by </b><i><a class="ref" href="scm_halt.html#D3" target="_self" title="SCM_HALT:def.3">Def3</a></i>;<br/>


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